Volume 43 Issue 9
Sep.  2022
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LIANG Qing. Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2022, 43(9): 1034-1044. doi: 10.21656/1000-0887.420267
Citation: LIANG Qing. Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2022, 43(9): 1034-1044. doi: 10.21656/1000-0887.420267

Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations

doi: 10.21656/1000-0887.420267
  • Received Date: 2021-09-06
  • Rev Recd Date: 2022-07-03
  • Available Online: 2022-07-12
  • Publish Date: 2022-09-30
  • The asymptotic properties of the solutions to a class of perturbed stochastic impulsive functional differential equations were investigated. Through comparison of the solution to the perturbed equation with the solution to the corresponding unperturbed one, the sufficient conditions for these solutions to be close in a finite time interval were derived. Then, when small perturbations approach zero and the length of the time interval approaches infinity, the 2 solutions will still be close to each other. Finally, an example illustrates the effectiveness of the results.

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